12) Suppose f is continuous at a critical number c and differentiable on an open interval (a,b) containing c except poss

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12) Suppose f is continuous at a critical number c and differentiable on an open interval (a,b) containing c except poss

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12 Suppose F Is Continuous At A Critical Number C And Differentiable On An Open Interval A B Containing C Except Poss 1
12 Suppose F Is Continuous At A Critical Number C And Differentiable On An Open Interval A B Containing C Except Poss 1 (15.28 KiB) Viewed 40 times
12) Suppose f is continuous at a critical number c and differentiable on an open interval (a,b) containing c except possibly at c itself. Suppose f′(x)>0 for x∈(a,c) and f′(x)>0 for x∈(c,b), then a) f(c) is a local minimum of f b) f(c) is a local maximum of f c) f(c) is not a local extremum of f d) f(x) is constant on [a,b]
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